#870766 (C++17) No.2310 [Cherry 5th Tune A] Against Regret

提出ソース

結果

問題	No.2310 [Cherry 5th Tune A] Against Regret
ユーザー	poyon
提出日時	2023-05-19 23:52:44
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	3,099 ms / 6,000 ms
コード長	12,532 bytes
コンパイル時間	3,358 ms
コンパイル使用メモリ	232,564 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-05-10 07:35:57
合計ジャッジ時間	42,619 ms
ジャッジサーバーID （参考情報）	judge2 / judge4

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	1 ms 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	2 ms 5,376 KB
testcase_03	AC	4 ms 5,376 KB
testcase_04	AC	3 ms 5,376 KB
testcase_05	AC	4 ms 5,376 KB
testcase_06	AC	3 ms 5,376 KB
testcase_07	AC	3 ms 5,376 KB
testcase_08	AC	132 ms 5,376 KB
testcase_09	AC	302 ms 5,376 KB
testcase_10	AC	453 ms 5,376 KB
testcase_11	AC	761 ms 5,376 KB
testcase_12	AC	675 ms 5,376 KB
testcase_13	AC	363 ms 5,376 KB
testcase_14	AC	453 ms 5,376 KB
testcase_15	AC	868 ms 5,376 KB
testcase_16	AC	82 ms 5,376 KB
testcase_17	AC	443 ms 5,376 KB
testcase_18	AC	2,958 ms 5,376 KB
testcase_19	AC	2,870 ms 5,376 KB
testcase_20	AC	2,882 ms 5,376 KB
testcase_21	AC	2,836 ms 5,376 KB
testcase_22	AC	2,882 ms 5,376 KB
testcase_23	AC	2,919 ms 5,376 KB
testcase_24	AC	2,861 ms 5,376 KB
testcase_25	AC	2,834 ms 5,376 KB
testcase_26	AC	2,844 ms 5,376 KB
testcase_27	AC	3,099 ms 5,376 KB
testcase_28	AC	2,862 ms 5,376 KB
testcase_29	AC	449 ms 5,376 KB

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ソースコード

raw source code

// clang-format off
#ifdef _LOCAL
    #include <pch.hpp>
#else
    #include <bits/stdc++.h>
    #define cerr if (false) cerr
    #define debug_bar
    #define debug(...)
    #define debug2(vv)
    #define debug3(vvv)
#endif

using namespace std;
using ll = long long;
using ld = long double;
using str = string;
using P = pair<ll,ll>;
using VP = vector<P>;
using VVP = vector<VP>;
using VC = vector<char>;
using VS = vector<string>;
using VVS = vector<VS>;
using VI = vector<int>;
using VVI = vector<VI>;
using VVVI = vector<VVI>;
using VLL = vector<ll>;
using VVLL = vector<VLL>;
using VVVLL = vector<VVLL>;
using VB = vector<bool>;
using VVB = vector<VB>;
using VVVB = vector<VVB>;
using VD = vector<double>;
using VVD = vector<VD>;
using VVVD = vector<VVD>;
#define FOR(i,l,r) for (ll i = (l); i < (r); ++i)
#define RFOR(i,l,r) for (ll i = (r)-1; (l) <= i; --i)
#define REP(i,n) FOR(i,0,n)
#define RREP(i,n) RFOR(i,0,n)
#define FORE(e,c) for (auto&& e : c)
#define ALL(c) (c).begin(), (c).end()
#define SORT(c) sort(ALL(c))
#define RSORT(c) sort((c).rbegin(), (c).rend())
#define MIN(c) *min_element(ALL(c))
#define MAX(c) *max_element(ALL(c))
#define COUNT(c,v) count(ALL(c),(v))
#define len(c) ((ll)(c).size())
#define BIT(b,i) (((b)>>(i)) & 1)
#define PCNT(b) ((ll)__builtin_popcountll(b))
#define LB(c,v) distance((c).begin(), lower_bound(ALL(c), (v)))
#define UB(c,v) distance((c).begin(), upper_bound(ALL(c), (v)))
#define UQ(c) do { SORT(c); (c).erase(unique(ALL(c)), (c).end()); (c).shrink_to_fit(); } while (0)
#define END(...) do { print(__VA_ARGS__); exit(0); } while (0)
constexpr ld EPS = 1e-10;
constexpr ld PI  = acosl(-1.0);
constexpr int inf = (1 << 30) - (1 << 15);   // 1,073,709,056
constexpr ll INF = (1LL << 62) - (1LL << 31);  // 4,611,686,016,279,904,256
template<class... T> void input(T&... a) { (cin >> ... >> a); }
void print() { cout << '\n'; }
template<class T> void print(const T& a) { cout << a << '\n'; }
template<class P1, class P2> void print(const pair<P1, P2>& a) { cout << a.first << " " << a.second << '\n'; }
template<class T, class... Ts> void print(const T& a, const Ts&... b) { cout << a; (cout << ... << (cout << ' ', b)); cout << '\n'; }
template<class T> void cout_line(const vector<T>& ans, int l, int r) { for (int i = l; i < r; i++) { if (i != l) { cout << ' '; } cout << ans[i]; } cout << '\n'; }
template<class T> void print(const vector<T>& a) { cout_line(a, 0, a.size()); }
template<class S, class T> bool chmin(S& a, const T b) { if (b < a) { a = b; return 1; } return 0; }
template<class S, class T> bool chmax(S& a, const T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> T SUM(const vector<T>& A) { return accumulate(ALL(A), T(0)); }
template<class T> vector<T> cumsum(const vector<T>& A, bool offset = false) { int N = A.size(); vector<T> S(N+1, 0); for (int i = 0; i < N; i++) { S[i+1] = S[i] + A[i]; } if (not offset) { S.erase(S.begin()); } return S; }
template<class T> string to_binary(T x, int B = 0) { string s; while (x) { s += ('0' + (x & 1)); x >>= 1; } while ((int)s.size() < B) { s += '0'; } reverse(s.begin(), s.end()); return s; }
template<class F> ll binary_search(const F& is_ok, ll ok, ll ng) { while (abs(ok - ng) > 1) { ll m = (ok + ng) / 2; (is_ok(m) ? ok : ng) = m; } return ok; }
template<class F> double binary_search_real(const F& is_ok, double ok, double ng, int iter = 90) { for (int i = 0; i < iter; i++) { double m = (ok + ng) / 2; (is_ok(m) ? ok : ng) = m; } return ok; }
template<class T> using PQ_max = priority_queue<T>;
template<class T> using PQ_min = priority_queue<T, vector<T>, greater<T>>;
template<class T> T pick(stack<T>& s) { assert(not s.empty()); T x = s.top(); s.pop(); return x; }
template<class T> T pick(queue<T>& q) { assert(not q.empty()); T x = q.front(); q.pop(); return x; }
template<class T> T pick_front(deque<T>& dq) { assert(not dq.empty()); T x = dq.front(); dq.pop_front(); return x; }
template<class T> T pick_back(deque<T>& dq) { assert(not dq.empty()); T x = dq.back(); dq.pop_back(); return x; }
template<class T> T pick(PQ_min<T>& pq) { assert(not pq.empty()); T x = pq.top(); pq.pop(); return x; }
template<class T> T pick(PQ_max<T>& pq) { assert(not pq.empty()); T x = pq.top(); pq.pop(); return x; }
template<class T> T pick(vector<T>& v) { assert(not v.empty()); T x = v.back(); v.pop_back(); return x; }
int to_int(const char c) { if (islower(c)) { return (c - 'a'); } if (isupper(c)) { return (c - 'A'); } if (isdigit(c)) { return (c - '0'); } assert(false); }
char to_a(const int i) { assert(0 <= i && i < 26); return ('a' + i); }
char to_A(const int i) { assert(0 <= i && i < 26); return ('A' + i); }
char to_d(const int i) { assert(0 <= i && i <= 9); return ('0' + i); }
ll min(int a, ll b) { return min((ll)a, b); }
ll min(ll a, int b) { return min(a, (ll)b); }
ll max(int a, ll b) { return max((ll)a, b); }
ll max(ll a, int b) { return max(a, (ll)b); }
ll mod(ll x, ll m) { assert(m > 0); return (x % m + m) % m; }
ll ceil(ll a, ll b) { if (b < 0) { return ceil(-a, -b); } assert(b > 0); return (a < 0 ? a / b : (a + b - 1) / b); }
ll floor(ll a, ll b) { if (b < 0) { return floor(-a, -b); } assert(b > 0); return (a > 0 ? a / b : (a - b + 1) / b); }
ll powint(ll x, ll n) { assert(n >= 0); if (n == 0) { return 1; }; ll res = powint(x, n>>1); res *= res; if (n & 1) { res *= x; } return res; }
pair<ll,ll> divmod(ll a, ll b) { assert(b != 0); ll q = floor(a, b); return make_pair(q, a - q * b); }
ll bitlen(ll b) { if (b <= 0) { return 0; } return (64LL - __builtin_clzll(b)); }
ll digitlen(ll n) { assert(n >= 0); if (n == 0) { return 1; } ll sum = 0; while (n > 0) { sum++; n /= 10; } return sum; }
ll msb(ll b) { return (b <= 0 ? -1 : (63 - __builtin_clzll(b))); }
ll lsb(ll b) { return (b <= 0 ? -1 : __builtin_ctzll(b)); }
// --------------------------------------------------------

#include <atcoder/modint>
using namespace atcoder;

// constexpr ll MOD = 1000003;
// using mint = modint;
// mint::set_mod(MOD);  // write in main()

// using mint = modint1000000007;
using mint = modint998244353;

using VM = vector<mint>;
using VVM = vector<VM>;
using VVVM = vector<VVM>;
using VVVVM = vector<VVVM>;

template<int M> istream &operator>>(istream &is, static_modint<M> &m) { ll v; is >> v; m = v; return is; }
template<int M> istream &operator>>(istream &is, dynamic_modint<M> &m) { ll v; is >> v; m = v; return is; }
template<int M> ostream &operator<<(ostream &os, const static_modint<M> &m) { return os << m.val(); }
template<int M> ostream &operator<<(ostream &os, const dynamic_modint<M> &m) { return os << m.val(); }

// It is assumed that M (= mod) is prime number
struct combination {
  public:
    combination() : combination(1) {}
    combination(int n) : N(1), fact_(2,0), ifact_(2,0), inv_(2,0) {
        M = mint().mod();
        assert(0 < n && n < M);

        fact_[0] = fact_[1] = 1;
        ifact_[0] = ifact_[1] = 1;
        inv_[1] = 1;

        if (N < n) { build(n); }
    }

    mint P(int n, int k) {
        if (N < n) { build(n); }
        if (n < 0 || k < 0 || n < k) { return 0; }
        return fact_[n] * ifact_[n-k];
    }
    mint C(int n, int k) {
        if (N < n) { build(n); }
        if (n < 0 || k < 0 || n < k) { return 0; }
        return fact_[n] * ifact_[n-k] * ifact_[k];
    }
    mint H(int n, int k) {
        if (n == 0 && k == 0) { return 1; }
        if (n < 0 || k < 0) { return 0; }
        return C(n + k - 1, k);
    }
    mint fact(int n) {
        if (N < n) { build(n); }
        if (n < 0) { return 0; }
        return fact_[n];
    }
    mint ifact(int n) {
        if (N < n) { build(n); }
        if (n < 0) { return 0; }
        return ifact_[n];
    }
    mint inv(int n) {
        if (N < n) { build(n); }
        if (n < 0) { return 0; }
        return inv_[n];
    }
    mint P_naive(ll n, int k) const noexcept {
        if (n < 0 || k < 0 || n < k) { return 0; }
        mint res = 1;
        for (int i = 1; i <= k; i++) { res *= (n - i + 1); }
        return res;
    }
    mint C_naive(ll n, int k) const noexcept {
        if (n < 0 || k < 0 || n < k) { return 0; }
        if (k > n - k) { k = n - k; }
        mint nume = 1, deno = 1;
        for (int i = 1; i <= k; i++) { nume *= (n - i + 1); deno *= i; }
        return nume / deno;
    }
    mint H_naive(ll n, int k) const noexcept {
        if (n == 0 && k == 0) { return 1; }
        if (n < 0 || k < 0) { return 0; }
        return C_naive(n + k - 1, k);
    }

  private:
    int N;
    int M;  // mod
    vector<mint> fact_, ifact_, inv_;

    void build(int N_new) {
        assert(N < N_new);
        fact_.resize(N_new + 1);
        ifact_.resize(N_new + 1);
        inv_.resize(N_new + 1);
        for (int i = N + 1; i <= N_new; i++) {
            fact_[i] = fact_[i - 1] * i;
            inv_[i] = -inv_[M % i] * (M / i);
            ifact_[i] = ifact_[i - 1] * inv_[i];
        }
        N = N_new;
    }
};


// 座標圧縮
template <class T = ll>
struct compress {
  public:
    compress() {}
    compress(const vector<T>& A) : xs(A) {}
    compress(const vector<T>& A, const vector<T>& B) {
        xs.reserve(A.size() + B.size());
        for (const auto& a : A) { xs.push_back(a); }
        for (const auto& b : B) { xs.push_back(b); }
    }

    // 値 v を追加する
    //   - amortized O(1)
    void add(T v) {
        assert(not is_built);
        xs.push_back(v);
    }

    // 配列 A の値を全て追加する
    //   - O(|A|)
    void add(const vector<T>& A) {
        assert(not is_built);
        xs.reserve(xs.size() + A.size());
        for (const auto& a : A) { xs.push_back(a); }
    }

    // 座標圧縮して種類数を返す
    //   - O(N log N)
    int build() {
        assert(not is_built);
        sort(xs.begin(), xs.end());
        xs.erase(unique(xs.begin(), xs.end()), xs.end());
        is_built = true;
        return xs.size();
    }

    // 座標圧縮前で i 番目に大きい値を返す (0-indexed)
    //   - O(1)
    T operator[] (int i) const noexcept {
        assert(is_built);
        assert(0 <= i && i < (int)xs.size());
        return xs[i];
    }

    // 値 v に対応する座標圧縮後の値（番号）を返す
    // 値 v が元の配列に存在することを想定
    //   - O(log N)
    int operator() (T v) const noexcept {
        assert(is_built);
        auto it = lower_bound(xs.begin(), xs.end(), v);
        assert(it != xs.end() && *it == v);
        return distance(xs.begin(), it);
    }

    // 座標圧縮後の値の種類数を返す
    //   - O(1)
    int size() const noexcept {
        assert(is_built);
        return xs.size();
    }

  private:
    bool is_built = false;
    vector<T> xs;
};

// clang-format on
int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cout << fixed << setprecision(15);

    ll N;
    input(N);
    VVM X(N + 1, VM(N + 1));
    REP (i, N + 1) {
        REP (j, N + 1) {
            ll x;
            cin >> x;
            X[i][j] = x;
        }
    }

    VVM dp1(N + 1, VM(N + 1));
    REP (s, N + 1) {
        dp1[s][s] = 1;
        FOR (i, s, N + 1) {
            FOR (j, i + 1, N + 1) {
                dp1[s][j] += dp1[s][i] * X[i][j];
            }
        }
    }

    int Q;
    cin >> Q;
    REP (_, Q) {
        ll K;
        input(K);
        VLL A2(K), B2(K), C2(K);
        REP (i, K) { input(A2[i], B2[i], C2[i]); }

        VLL A, B, C;
        map<pair<ll, ll>, ll> mp;
        REP (i, K) { mp[{A2[i], B2[i]}] += C2[i]; }
        for (auto [p, c] : mp) {
            auto [a, b] = p;
            A.push_back(a);
            B.push_back(b);
            C.push_back(c);
        }
        K = len(A);

        VVI edge(N + 1);
        REP (k, K) { edge[A[k]].push_back(k); }

        compress<int> z;
        VI idx;
        REP (k, K) {
            z.add(A[k]);
            z.add(B[k]);
        }
        z.add(0);
        z.add(N);
        int M = z.build();

        VVM dp2(K + 1, VM(M));
        dp2[0][0] = 1;
        REP (m, M - 1) {
            int i = z[m];
            REP (k, K + 1) {
                dp2[k][M - 1] += dp2[k][m] * dp1[i][N];
            }
            REP (j, K) {
                if (i <= A[j]) {
                    int m2 = z(B[j]);
                    REP (k, K) {
                        dp2[k + 1][m2] += dp2[k][m] * dp1[i][A[j]] * C[j];
                    }
                }
            }
        }

        mint ans = dp1[0][N];
        FOR (k, 1, K + 1) { ans += dp2[k][M - 1]; }
        print(ans.val());
    }

    return 0;
}

yukicoder

結果

テストケース

ソースコード